In this question, two statements are followed by two conclusions, numbered (I) and (II). Find out, which conclusion(s) is/are definitely true, based on the given statements:

Statements: B > C = S ≥ T ≥ U, Y = K ≥ L ≥ U.

Conclusions: (I) B > Y

(II) S ≥ U

1. A

   Both conclusion (I) and conclusion (II) are true.

2. B

   Neither conclusion (I) nor conclusion (II) is true.

3. C

   Only conclusion (I) is true.

4. D

   Only conclusion (II) is true.

Appeared in: NVS- 2025

Explanation

• The question asks to identify which conclusion is definitely true based on the given inequality statements.
• Conclusion (II) states S ≥ U.
• The first statement provides the chain: S ≥ T ≥ U.
• By the transitive property of inequalities, if S is greater than or equal to T, and T is greater than or equal to U, then S is definitely greater than or equal to U.
• This makes Conclusion (II) a direct and certain deduction from the statements.

Why Other Options Were Wrong

• Option A: This option claims both conclusions are true. However, Conclusion (I) is not definitely true because no direct relationship can be established between B and Y.
• Option B: This option claims neither conclusion is true. This is incorrect because Conclusion (II), S ≥ U, is definitely true as it is directly derived from the first statement.
• Option C: This option claims only Conclusion (I) is true. This is incorrect because Conclusion (I), B > Y, is not definitely true, while Conclusion (II) is.

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Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Coded Inequalities as background academic context rather than a clinical decision trigger.
• This question tests logical reasoning and analytical skills, which are essential for nurses in non-clinical tasks and competitive examinations.
• While not directly related to patient care, strong reasoning helps in interpreting policies, managing resources, and making sound judgments under pressure.
• What if? If the second statement was Y > L > U, the relationship would become Y > U. Even with this change, no definite conclusion can be made about B and Y, as they still only share a common lower bound.

How to Approach the Question

• First, carefully read and decode the two given statements of inequality.
• Statement 1: B > C = S ≥ T ≥ U
• Statement 2: Y = K ≥ L ≥ U
• Next, evaluate Conclusion (I): B > Y. Try to find a continuous chain linking B and Y. Notice that B and Y are in separate statements, linked only by the common element U. Since B > U and Y ≥ U, they are both 'larger' than U, but their relationship to each other is unknown. Thus, Conclusion (I) is not definite.
• Then, evaluate Conclusion (II): S ≥ U. Look for a chain linking S and U in the statements. The first statement contains S ≥ T ≥ U, which directly proves S ≥ U.
• Finally, based on the analysis, determine which option correctly reflects the validity of the conclusions. Since only (II) is true, select that option.

Concept Tested & Keywords

• Concept Tested: Logical Reasoning - Coded Inequalities
• Stem keywords: Statements, Conclusions, Inequalities, Logical Reasoning
• Lead-in keywords: definitely true

Question ID

QN3SH_4583bsM5bdhqJf10

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